These data suggest that facial emotion processing can be impaired in MCI prior to the more marked cognitive deficits seen with clinically diagnosed Alzheimer disease.
Abstract. Let X be an arbitrary set. A topology t on X is said to be useful if every continuous linear preorder on X is representable by a continuous real{valued order preserving function.Continuous linear preorders on X are induced by certain families of open subsets of X that are called (linear) separable systems on X. Therefore, in a rst step useful topologies on X will be characterized by means of (linear) separable systems on X. Then, in a second step particular topologies on X are studied that do not allow the construction of (linear) separable systems on X that correspond to non{representable continuous linear preorders. In this way generalizations of the Eilenberg{Debreu theorems which state that second countable or separable and connected topologies on X are useful and of the theorem of Est evez and Herv es which states that a metrizable topology on X is useful, if and only if it is second countable can be proved.2000 AMS Classi cation: 54F05, 91B16, 06A05.
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